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11394580032 = 2632111798387
BaseRepresentation
bin10101001110010101…
…10111111001000000
31002102002220122021200
422213022313321000
5141314003030112
65122401221200
7552240221643
oct124712677100
932362818250
1011394580032
114917a416a0
122260031800
1310c78bbc64
147a1463a5a
1546a531cdc
hex2a72b7e40

11394580032 has 84 divisors (see below), whose sum is σ = 35629663056. Its totient is φ = 3452901120.

The previous prime is 11394580027. The next prime is 11394580033. The reversal of 11394580032 is 23008549311.

11394580032 is a `hidden beast` number, since 11 + 39 + 4 + 580 + 0 + 32 = 666.

11394580032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (11394580033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 892858 + ... + 905529.

Almost surely, 211394580032 is an apocalyptic number.

11394580032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11394580032 is an abundant number, since it is smaller than the sum of its proper divisors (24235083024).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11394580032 is a wasteful number, since it uses less digits than its factorization.

11394580032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1798416 (or 1798403 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 11394580032 in words is "eleven billion, three hundred ninety-four million, five hundred eighty thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 72 88 96 99 132 144 176 192 198 264 288 352 396 528 576 704 792 1056 1584 2112 3168 6336 1798387 3596774 5395161 7193548 10790322 14387096 16185483 19782257 21580644 28774192 32370966 39564514 43161288 57548384 59346771 64741932 79129028 86322576 115096768 118693542 129483864 158258056 172645152 178040313 237387084 258967728 316516112 345290304 356080626 474774168 517935456 633032224 712161252 949548336 1035870912 1266064448 1424322504 1899096672 2848645008 3798193344 5697290016 11394580032